What is the Greatest Common Factor of 16864 and 16880?

Greatest common factor (GCF) of 16864 and 16880 is 16.

GCF(16864,16880) = 16

We will now calculate the prime factors of 16864 and 16880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16864 and 16880.

How to find the GCF of 16864 and 16880?

We will first find the prime factorization of 16864 and 16880. After we will calculate the factors of 16864 and 16880 and find the biggest common factor number .

Step-1: Prime Factorization of 16864

Prime factors of 16864 are 2, 17, 31. Prime factorization of 16864 in exponential form is:

16864 = 2⁵ × 17¹ × 31¹

Step-2: Prime Factorization of 16880

Prime factors of 16880 are 2, 5, 211. Prime factorization of 16880 in exponential form is:

16880 = 2⁴ × 5¹ × 211¹

Step-3: Factors of 16864

List of positive integer factors of 16864 that divides 16864 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 68, 124, 136, 248, 272, 496, 527, 544, 992, 1054, 2108, 4216, 8432

Step-4: Factors of 16880

List of positive integer factors of 16880 that divides 16864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 211, 422, 844, 1055, 1688, 2110, 3376, 4220, 8440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16864 and 16880. The biggest common factor number is the GCF number.
So the greatest common factor 16864 and 16880 is 16.

Also check out the Least Common Multiple of 16864 and 16880